Elementary Statistics

I. DESCRIPTIVE STATISTICS

1. Introduction to Statistics
   • 1.1 An Overview of Statistics
   • 1.2 Data Classification
   • 1.3 Data Collection and Experimental Design
2. Descriptive Statistics
   • 2.1 Frequency Distributions and Their Graphs
   • 2.2 More Graphs and Displays
   • 2.3 Measures of Central Tendency
   • 2.4 Measures of Variation
   • 2.5 Measures of Position

II. PROBABILITY AND PROBABILITY DISTRIBUTIONS

3. Probability
   • 3.1 Basic Concepts of Probability and Counting
   • 3.2 Conditional Probability and the Multiplication Rule
   • 3.3 The Addition Rule
   • 3.4 Additional Topics in Probability and Counting
4. Discrete Probability Distributions
   • 4.1 Probability Distributions
   • 4.2 Binomial Distributions
   • 4.3 More Discrete Probability Distributions
5. Normal Probability Distributions
   • 5.1 Introduction to Normal Distributions and the Standard Normal Distribution
   • 5.2 Normal Distributions: Finding Probabilities
   • 5.3 Normal Distributions: Finding Values
   • 5.4 Sampling Distributions and the Central Limit Theorem
   • 5.5 Normal Approximations to Binomial Distributions

III. STATISTICAL INFERENCE

6. Confidence Intervals
   • 6.1 Confidence Intervals for the Mean (S Known)
   • 6.2 Confidence Intervals for the Mean (S Unknown)
   • 6.3 Confidence Intervals for Population Proportions
   • 6.4 Confidence Intervals for Variance and Standard Deviation
7. Hypothesis Testing with One Sample
   • 7.1 Introduction to Hypothesis Testing
   • 7.2 Hypothesis Testing for the Mean (S Known)
   • 7.3 Hypothesis Testing for the Mean (S Unknown)
   • 7.4 Hypothesis Testing for Proportions
   • 7.5 Hypothesis Testing for Variance and Standard Deviation
8. Hypothesis Testing with Two Samples
   • 8.1 Testing the Difference Between Means (Independent Samples, S1 and S2 Known)
   • 8.2 Testing the Difference Between Means (Independent Samples, S1 and S2 Unknown)
   • 8.3 Testing the Difference Between Means (Dependent Samples)
   • 8.4 Testing the Difference Between Proportions

IV. MORE STATISTICAL INFERENCE

9. Correlation and Regression
   • 9.1 Correlation
   • 9.2 Linear Regression
   • 9.3 Measures of Regression and Prediction Intervals
   • 9.4 Multiple Regression
10. Chi-Square Tests and the F-Distribution
    • 10.1 Goodness-of-Fit Test
    • 10.2 Independence
    • 10.3 Comparing Two Variances
    • 10.4 Analysis of Variance
11. Nonparametric Tests (Web Only)*
    • 11.1 The Sign Test
    • 11.2 The Wilcoxon Tests
    • 11.3 The Kruskal-Wallis Test
    • 11.4 Rank Correlation
    • 11.5 The Runs Test

• * Available at www.pearson.com/math-stats-resources and in MyLab Statistics.

APPENDICES

• A. Alternative Presentation of the Standard Normal Distribution
• B. Tables
• C. Normal Probability Plots